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Finding the Fourth Proportional to 3,997.47, 5,517.03 and 2,882.10

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Solution

The fourth proportional to 3,997.47, 5,517.03 and 2,882.10 is: 3,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.47 : 5,517.03 = 2,882.10 : x
  2. Step 2: Convert to fraction form
    3,997.47/5,517.03 = 2,882.10/x
  3. Step 3: Cross multiply
    3,997.47x = 5,517.03 × 2,882.10
  4. Step 4: Simplify right side
    3,997.47x = 15,900,632.16
  5. Step 5: Solve for x
    x = 15,900,632.16/3,997.47
  6. Step 6: Final answer
    x = 3,977.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.